Given the linear equation 5x-3y+4=0, write another linear equation in two variables such that the geometrical representation of the pair so formal is 1) Intersecting line. 2)parallel lines. 3)coincident lines
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Answer:
intersecting line
a1/a2 =/= b1/b2
10x - 12y + 2 = 0
parallel lines
a1/a2 = b1/b2 =/= c1/c2
10x - 6y + 12 = 0
coincident lines
a1/a2 = b1/b2 = c1/c2
15x - 9y + 12 = 0
(=/= means not equal to )
hope this helps you...
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Answer:
Coincident Lines Infinite Solutions Equations are consistent Interesecting Lines Unique Solution Equations are consistent
Parallel Lines No Solution Equations are inconsistent
Coincident Lines:
1x + 2y = 3 1, 2, 3 2x + 4y = 6 2, 4, 6
x + y = 2 1, 1, 2 3x + 3y = 6 3, 3, 6
Intersecting Lines:
x + y = 3 1, 1, 3 2x + 3y = 10 2, 3, 10
Parallel Lines:
x + 3y = 5 x + 3y = 7
2x – 5y = 10 4x – 10y = 11
11x + 15y = -23 ; 7x - 2y = 20 ;
Step-by-step explanation:
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